Results 21 to 30 of about 6,563,661 (318)
On homotopy nilpotency of some suspended spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 A homological criterium from [Golasiński, M., On homotopy nilpotency of loop spaces of Moore spaces, Canad. Math. Bull. (2021), 1–12] is applied to investigate the homotopy nilpotency of some suspended spaces.
Marek Golasinski
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Higher dimensional formal loop spaces [PDF]
, 2020 If $M$ is a symplectic manifold then the space of smooth loops $\mathrm C^{\infty}(\mathrm S^1,M)$ inherits of a quasi-symplectic form. We will focus in this article on an algebraic analogue of that result.
Benjamin Hennion
semanticscholar +1 more source
Symplectic homology of fiberwise convex sets and homology of loop spaces [PDF]
The Journal of Symplectic Geometry, 2019 For any nonempty, compact and fiberwise convex set $K$ in $T^*\mathbb{R}^n$, we prove an isomorphism between symplectic homology of $K$ and a certain relative homology of loop spaces of $\mathbb{R}^n$.
K. Irie
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Motivic infinite loop spaces [PDF]
Cambridge Journal of Mathematics, 2017 We prove a recognition principle for motivic infinite P1-loop spaces over an infinite perfect field. This is achieved by developing a theory of framed motivic spaces, which is a motivic analogue of the theory of E-infinity-spaces.
E. Elmanto +4 more
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Positive geometry, local triangulations, and the dual of the Amplituhedron
Journal of High Energy Physics, 2021 We initiate the systematic study of local positive spaces which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relevant for one-
Enrico Herrmann +3 more
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Diagrammar of physical and fake particles and spectral optical theorem
Journal of High Energy Physics, 2021 We prove spectral optical identities in quantum field theories of physical particles (defined by the Feynman iϵ prescription) and purely virtual particles (defined by the fakeon prescription).
Damiano Anselmi
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Equivariant localization and completion in cyclic homology and derived loop spaces [PDF]
Advances in Mathematics, 2017 We prove an equivariant localization theorem over an algebraically closed field of characteristic zero for smooth quotient stacks by reductive groups $X/G$ in the setting of derived loop spaces as well as Hochschild homology and its cyclic variants.
Harrison B. Chen
semanticscholar +1 more source
Physical Review D, 2005 We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams.
Bena, Iosif +3 more
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Infinite loop spaces from operads with homological stability [PDF]
, 2016 Motivated by the operad built from moduli spaces of Riemann surfaces, we consider a general class of operads in the category of spaces that satisfy certain homological stability conditions.
M. Basterra +4 more
semanticscholar +1 more source
Small-gain theorem for a class of abstract parabolic systems [PDF]
Opuscula Mathematica, 2018 We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup.
Piotr Grabowski
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